86558347264 has 39 divisors (see below), whose sum is σ = 173133224337. Its totient is φ = 43269758976.

The previous prime is 86558347171. The next prime is 86558347289. The reversal of 86558347264 is 46274385568.

The square root of 86558347264 is 294208.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6247321600 + 80311025664 = 79040^2 + 283392^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 86558347199 and 86558347208.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 18827014 + ... + 18831610.

Almost surely, 2^86558347264 is an apocalyptic number.

86558347264 is the 294208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86558347264

86558347264 is an abundant number, since it is smaller than the sum of its proper divisors (86574877073).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86558347264 is an frugal number, since it uses more digits than its factorization.

86558347264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9218 (or 4599 counting only the distinct ones).

The product of its digits is 38707200, while the sum is 58.

The spelling of 86558347264 in words is "eighty-six billion, five hundred fifty-eight million, three hundred forty-seven thousand, two hundred sixty-four".